A fund-raising project lasted 2 weeks. In the first week, School X raised 5 times as much money as School Y. ln the second week, School X raised another $370 while School Y raised another $308. The total amount raised by School X was twice as much money as the total amount raised by School Y. What was the total amount of money raised by the two schools?
| |
School X
(1) |
School Y
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 370 |
+ 308 |
+ 616 |
| After |
2 p |
1 p |
2 p |
5 u + 370 =
2 p --- (1)
1 u + 308 = 1 p --- (2)
(2)
x2
2 u + 616 =
2 p --- (3)
(1) = (3)
5 u + 370 = 2 u + 616
5 u - 2 u = 616 - 370
3 u = 246
1 u = 246 ÷ 3 = 82
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 82
= $492
Total amount of money raised in 2 weeks by the two schools
= 492 + 370 + 308
= $1170
Answer(s): $1170
